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Simplifying (13x + 10y) + -1(6x + -7y) + 5x = 0 Remove parenthesis around (13x + 10y) 13x + 10y + -1(6x + -7y) + 5x = 0 13x + 10y + (6x * -1 + -7y * -1) + 5x = 0 13x + 10y + (-6x + 7y) + 5x = 0 Reorder the terms: 13x + -6x + 5x + 10y + 7y = 0 Combine like terms: 13x + -6x = 7x 7x + 5x + 10y + 7y = 0 Combine like terms: 7x + 5x = 12x 12x + 10y + 7y = 0 Combine like terms: 10y + 7y = 17y 12x + 17y = 0 Solving 12x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17y' to each side of the equation. 12x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 12x + 0 = 0 + -17y 12x = 0 + -17y Remove the zero: 12x = -17y Divide each side by '12'. x = -1.416666667y Simplifying x = -1.416666667y
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